<h2>Problem 97</h2>
<div style="color:#666;font-size:80%;">10 June 2005</div><br />
<div class="problem_content">
<p>The first known prime found to exceed one million digits was discovered in 1999, and is a Mersenne prime of the form 2<img src="" style="display:none;" alt="^(" /><sup>6972593</sup><img src="" style="display:none;" alt=")" /><img src='images/symbol_minus.gif' width='9' height='3' alt='&minus;' border='0' style='vertical-align:middle;' />1; it contains exactly 2,098,960 digits. Subsequently other Mersenne primes, of the form 2<img src="" style="display:none;" alt="^(" /><sup><i>p</i></sup><img src="" style="display:none;" alt=")" /><img src='images/symbol_minus.gif' width='9' height='3' alt='&minus;' border='0' style='vertical-align:middle;' />1, have been found which contain more digits.</p>
<p>However, in 2004 there was found a massive non-Mersenne prime which contains 2,357,207 digits: 28433<img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' />2<img src="" style="display:none;" alt="^(" /><sup>7830457</sup><img src="" style="display:none;" alt=")" />+1.</p>
<p>Find the last ten digits of this prime number.</p>

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